Atkin-Lehner |
2+ 3- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64614i |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25005976801542 = 2 · 34 · 117 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16217,-758914] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:220:1] [1716:70030:1] |
Generators of the group modulo torsion |
j |
266219984737/14115222 |
j-invariant |
L |
7.2412962887919 |
L(r)(E,1)/r! |
Ω |
0.42446373714482 |
Real period |
R |
2.1324837833876 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5874f2 |
Quadratic twists by: -11 |